2 papers
math.PR2025
Crossings and diffusion in Poisson driven marked random connection models
Alessandra Faggionato, Ivailo Hartarsky
We first study crossing statistics in random connection models (RCM) built on marked Poisson point processes on . Under general assumptions, we show exponential tail b…
math.PR2024
An ergodic theorem with weights and applications to random measures, RW homogenization and IPS hydrodynamics on point processes
A. Faggionato
We prove a multidimensional ergodic theorem with weighted averages for the action of the group on a probability space. At level weights are of the form $n^{-d} Ï…